Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(-3\times3 + 1 - 1\right)2\left(-5 - 1\right) $$
Correct Answer
$$ 108$$ or 108.000

2. Simplify 2

Simplify the following expression: $$ \frac{2\times4\times4}{-3(-1) - \frac{2}{-3}} $$
Correct Answer
$$ \frac{96}{11}$$ or 8.72727

3. Fractions 1

Simplify the following expression: $$ \frac{-2}{2} + \frac{3}{6} $$
Correct Answer
$$ \frac{-1}{2}$$ or -0.5

4. Fractions 2

Simplify the following expression: $$ \frac{6}{5}\frac{-2}{3} $$
Correct Answer
$$ \frac{-4}{5}$$ or -0.7999999999999999

5. Significant figures

1. Write the following to 4 significant figures: 0.41506416
Correct Answer
0.4151 or $$4.151\times10^{-1}$$
2. Write the following to 3 significant figures: 641.13183
Correct Answer
641 or $$6.41\times10^{2}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 0.0000286940
Correct Answer
$$2.87\times10^{-5}$$
2. Write the following in standard form to 4 significant digits: 2746.64
Correct Answer
$$2.747\times10^{3}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 0.02734495
Correct Answer
$$27.345\times10^{-3}$$
2. Write the following in preferred standard form to 5 significant digits: 0.001107647
Correct Answer
$$1.1076\times10^{-3}$$

8. Simplify 2

Simplify the following expression: $$ 2\frac{-3}{-5} - \frac{-5\times5}{4(-3)} $$
Correct Answer
$$ \frac{-53}{60}$$ or -0.883333

9. Simplify 1

Simplify the following expression: $$ {\left(1 + 4\right)}^{2} - \left((-(-4)) + 5 - 6\right) $$
Correct Answer
$$ 22$$ or 22.0000

10. Simplify 2

Simplify the following expression: $$ \frac{{\left(-4 + -4\right)}^{2}}{\frac{2}{5} + -2\times2} $$
Correct Answer
$$ \frac{-160}{9}$$ or -17.7778


Other Articles:

Mars Lander

An interactive simulation of a Mars Lander trying to land on Mars. The term "interactive" here means that you have to write the software, in Javascript, that will land the probe.

BodyWorks: Neuromuscular Activity / Muscle EMG

An interactive simulation showing how nerves travel to and down muscles, and how this gets picked up by EMG sensors.

The double slit and observers

A look at the double slit experiment. The first half is meant to be a clear explanation, using simulations. The second half discusses some of the philosophy / interpretations of quantum mecahnics.




© Hugo2015. Session @sessionNumber